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Finding the Fourth Proportional to 9,348, 14,024.02 and 2,774.64

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Solution

The fourth proportional to 9,348, 14,024.02 and 2,774.64 is: 4,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348 : 14,024.02 = 2,774.64 : x
  2. Step 2: Convert to fraction form
    9,348/14,024.02 = 2,774.64/x
  3. Step 3: Cross multiply
    9,348x = 14,024.02 × 2,774.64
  4. Step 4: Simplify right side
    9,348x = 38,911,606.85
  5. Step 5: Solve for x
    x = 38,911,606.85/9,348
  6. Step 6: Final answer
    x = 4,162.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.